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Manifold alignment (MA) involves a set of techniques for learning shared representations across domains, yet many traditional MA methods are incapable of performing out-of-sample extension, limiting their real-world applicability. We…

Machine Learning · Computer Science 2025-09-30 Jake S. Rhodes , Adam G. Rustad , Marshall S. Nielsen , Morgan Chase McClellan , Dallan Gardner , Dawson Hedges

The Strong Platonic Representation Hypothesis suggests that representational convergence in artificial neural networks can be harnessed constructively: embeddings can be translated across models through a universal latent space without…

Neurons and Cognition · Quantitative Biology 2026-05-21 Pablo Marcos-Manchón , Rishi Jha , Lluís Fuentemilla

The characterization of dynamical processes in living systems provides important clues for their mechanistic interpretation and link to biological functions. Thanks to recent advances in microscopy techniques, it is now possible to…

Data Analysis, Statistics and Probability · Physics 2023-11-29 Jesús Pineda , Benjamin Midtvedt , Harshith Bachimanchi , Sergio Noé , Daniel Midtvedt , Giovanni Volpe , Carlo Manzo

Self-supervised pre-training based on next-token prediction has enabled large language models to capture the underlying structure of text, and has led to unprecedented performance on a large array of tasks when applied at scale. Similarly,…

Self-supervised learning by predicting transformations has demonstrated outstanding performances in both unsupervised and (semi-)supervised tasks. Among the state-of-the-art methods is the AutoEncoding Transformations (AET) by decoding…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Feng Lin , Haohang Xu , Houqiang Li , Hongkai Xiong , Guo-Jun Qi

This study applied representation learning algorithms to satellite images and evaluated the learned latent spaces with classifications of various weather events. The algorithms investigated include the classical linear transformation, i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-11 Ting-Shuo Yo , Shih-Hao Su , Chien-Ming Wu , Wei-Ting Chen , Jung-Lien Chu , Chiao-Wei Chang , Hung-Chi Kuo

We consider the problem of learning implicit neural representations (INRs) for signals on non-Euclidean domains. In the Euclidean case, INRs are trained on a discrete sampling of a signal over a regular lattice. Here, we assume that the…

Machine Learning · Computer Science 2022-10-06 Daniele Grattarola , Pierre Vandergheynst

Probabilistic atlases (PAs) have long been used in standard segmentation approaches and, more recently, in conjunction with Convolutional Neural Networks (CNNs). However, their use has been restricted to relatively standardized structures…

Computer Vision and Pattern Recognition · Computer Science 2019-09-19 Udaranga Wickramasinghe , Graham Knott , Pascal Fua

We introduce a graphical method originating from the computer graphics domain that is used for the arbitrary and intuitive placement of cells over a two-dimensional manifold. Using a bitmap image as input, where the color indicates the…

Neural and Evolutionary Computing · Computer Science 2018-03-23 Nicolas P. Rougier

Real-world objects and environments are predominantly composed of edge features, including straight lines and curves. Such edges are crucial elements for various applications, such as CAD modeling, surface meshing, lane mapping, etc.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-30 Lei Li , Songyou Peng , Zehao Yu , Shaohui Liu , Rémi Pautrat , Xiaochuan Yin , Marc Pollefeys

Spatial awareness in mammals is based on an internalized representation of the environment, encoded by large networks of spiking neurons. While such representations can last for a long time, the underlying neuronal network is transient:…

Neurons and Cognition · Quantitative Biology 2016-02-03 Andrey Babichev , Yuri Dabaghian

Encoding the distance between locations in space is essential for accurate navigation. Grid cells, a functional class of neurons in medial entorhinal cortex, are believed to support this computation. However, existing theories of how…

Neurons and Cognition · Quantitative Biology 2025-11-12 Pritipriya Dasbehera , Akshunna S. Dogra , William T. Redman

We address the problem of active mapping with a continually-learned neural scene representation, namely Active Neural Mapping. The key lies in actively finding the target space to be explored with efficient agent movement, thus minimizing…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Zike Yan , Haoxiang Yang , Hongbin Zha

We present a new technique that enables manifold learning to accurately embed data manifolds that contain holes, without discarding any topological information. Manifold learning aims to embed high dimensional data into a lower dimensional…

Robotics · Computer Science 2022-03-11 Thomas Cohn , Nikhil Devraj , Odest Chadwicke Jenkins

A common need for artificial intelligence models in the broader geoscience is to represent and encode various types of spatial data, such as points (e.g., points of interest), polylines (e.g., trajectories), polygons (e.g., administrative…

Machine Learning · Computer Science 2022-03-14 Gengchen Mai , Krzysztof Janowicz , Yingjie Hu , Song Gao , Bo Yan , Rui Zhu , Ling Cai , Ni Lao

In machine learning, data is usually represented in a (flat) Euclidean space where distances between points are along straight lines. Researchers have recently considered more exotic (non-Euclidean) Riemannian manifolds such as hyperbolic…

Machine Learning · Computer Science 2021-01-12 Marc T. Law , Jos Stam

This paper presents a novel framework using neural cellular automata (NCA) to regenerate and predict geographic information. The model extends the idea of using NCA to generate/regenerate a specific image by training the model with various…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Mingxiang Chen , Qichang Chen , Lei Gao , Yilin Chen , Zhecheng Wang

Intelligent embodied agents (e.g. robots) need to perform complex semantic tasks in unfamiliar environments. Among many skills that the agents need to possess, building and maintaining a semantic map of the environment is most crucial in…

Robotics · Computer Science 2025-08-13 Sonia Raychaudhuri , Angel X. Chang

A fundamental cognitive process is the ability to map value and identity onto objects as we learn about them. Exactly how such mental constructs emerge and what kind of space best embeds this mapping remains incompletely understood. Here we…

Neurons and Cognition · Quantitative Biology 2019-05-31 Evelyn Tang , Marcelo G. Mattar , Chad Giusti , Sharon L. Thompson-Schill , Danielle S. Bassett

Grid cells in the medial entorhinal cortex and place cells in the hippocampus together support spatial navigation. The two regions are reciprocally connected, and there is a chicken-and-egg problem for how both arise and reinforce each…

Neurons and Cognition · Quantitative Biology 2026-05-21 Zhaoze Wang , Genela Morris , Dori Derdikman , Pratik Chaudhari , Vijay Balasubramanian